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Finding the Third Proportional to 18,657 and 25,332.75

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Solution

The third proportional to 18,657 and 25,332.75 is: 34,397.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,657 : 25,332.75 = 25,332.75 : x
  2. Step 2: Convert to fraction form
    18,657/25,332.75 = 25,332.75/x
  3. Step 3: Cross multiply
    18,657x = 25,332.75 × 25,332.75
  4. Step 4: Simplify right side
    18,657x = 641,748,222.56
  5. Step 5: Solve for x
    x = 641,748,222.56/18,657
  6. Step 6: Final answer
    x = 34,397.18

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.